LCM of 841, 493, 898, 936, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 493, 898, 936, 742 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 841, 493, 898, 936, 742. So, keep reading to learn more.
Given numbers are 841,493,898,936,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,493,898,936,742 is 2229158845368.
Find LCM of 841,493,898,936,742 with Prime Factorization
| 2 | 841, 493, 898, 936, 742 |
| 29 | 841, 493, 449, 468, 371 |
| 29, 17, 449, 468, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 29 x 17 x 449 x 468 x 371 = 2229158845368
Therefore, the lowest common multiple of 841,493,898,936,742 is 2229158845368.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
841 x 493 x 898 x 936 x 742 = 258582426062688
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
841 : 1, 29, 841
493 : 1, 17, 29, 493
898 : 1, 2, 449, 898
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,493,898,936,742, is 1.
Now, the common factors can be found like this.
841:29x 29
493:17x 29
898:2x 449
936:2x 2x 2x 3x 3x 13
742:2x 7x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 29 = 116
Therefore, the value for common factors is 116.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 258582426062688/(1x116)
LCM = 258582426062688/116
LCM = 2229158845368
Thus, we can understand that the LCM of 841,493,898,936,742 is 2229158845368.
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FAQs on LCM of 841, 493, 898, 936, 742
1. What is the LCM of 841, 493, 898, 936, 742?
Answer: LCM of 841, 493, 898, 936, 742 is 2229158845368.
2. How to calculate the LCM of 841, 493, 898, 936, 742?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 841, 493, 898, 936, 742.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.